Massless fermions in Kaluza-Klein models; SU(N) gauge fields, Z sub N symmetry and stability of the metastable vacuum

Journal Article · Mon Jan 20 04:00:00 EST 1992 · Modern Physics Letters A; (United States)

DOI:https://doi.org/10.1142/S0217732392000057· OSTI ID:5548869

Belyaev, V M; Kogan, I I ^[1]

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1. British Columbia Univ., Vancouver, BC (Canada). Dept. of Physics

Kaluza-Klein model on M{sup 4} {times} S{sup 1} with SU(N) gauge fields and N{sub f} fermions in fundamental representation is considered. It is noted that on one-loop level the lowest state of this theory corresponds to effective four-dimensional theory which has no massless fermions. This statement does not depend on fermion boundary conditions. The state with massless four-dimensional fermions is metastable. In this paper it is shown that this metastable states can be stabilized by effects of classical gravitation. The same problem of metastability of states with zero fermionic modes can appear in more realistic superstring compactification models and these effects of classical gravitation can resolve this problem of metastability.

• OSTI ID: 5548869
• Journal Information: Modern Physics Letters A; (United States), Journal Name: Modern Physics Letters A; (United States) Vol. 7:2; ISSN 0217-7323; ISSN MPLAE
• Country of Publication: United States
• Language: English

Related Subjects

661310 -- Relativity & Gravitation-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
COMPACTIFICATION
COMPOSITE MODELS
ELEMENTARY PARTICLES
ENERGY LEVELS
EXCITED STATES
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GRAVITATION
INVARIANCE PRINCIPLES
KALUZA-KLEIN THEORY
MASSLESS PARTICLES
MATHEMATICAL MODELS
METASTABLE STATES
PARTICLE MODELS
QUARK MODEL
STABILIZATION
STRING MODELS
SUPERSYMMETRY
SYMMETRY
UNIFIED-FIELD THEORIES
WILSON LOOP